680946680832000
680,946,680,832,000 is an even composite number composed of five prime numbers multiplied together.
680946680832000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 680946680832000:
213 × 3 × 53 × 11 × 674
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 67 × 67 × 67 × 67)See below for interesting mathematical facts about the number 680946680832000 from the Numbermatics database.
Names of 680946680832000
- Cardinal: 680946680832000 can be written as Six hundred eighty trillion, nine hundred forty-six billion, six hundred eighty million, eight hundred thirty-two thousand.
Scientific notation
- Scientific notation: 6.80946680832 × 1014
Factors of 680946680832000
Divisors of 680946680832000
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 67 75 80 88 96 100 110 120 125 128 132 134 150 160 165 176 192 200 201 220 240 250 256 264 268 275 300 320 330 335 352 375 384 400 402 440 480 500 512 528 536 550 600 640 660 670 704 737 750 768 800 804 825 880 960 1000 1005 1024 1056 1072 1100 1200 1280 1320 1340 1375 1408 1474 1500 1536 1600 1608 1650 1675 1760 1920 2000 2010 2048 2112 2144 2200 2211 2400 2560 2640 2680 2750 2816 2948 3000 3072 3200 3216 3300 3350 3520 3685 3840 4000 4020 4096 4125 4224 4288 4400 4422 4489 4800 5025 5120 5280 5360 5500 5632 5896 6000 6144 6400 6432 6600 6700 7040 7370 7680 8000 8040 8192 8250 8375 8448 8576 8800 8844 8978 9600 10050 10240 10560 10720 11000 11055 11264 11792 12000 12288 12800 12864 13200 13400 13467 14080 14740 15360 16000 16080 16500 16750 16896 17152 17600 17688 17956 18425 19200 20100 20480 21120 21440 22000 22110 22445 22528 23584 24000 24576 25125 25600 25728 26400 26800 26934 28160 29480 30720 32000 32160 33000 33500 33792 34304 35200 35376 35912 36850 38400 40200 40960 42240 42880 44000 44220 44890 45056 47168 48000 49379 50250 51200 51456 52800 53600 53868 55275 56320 58960 61440 64000 64320 66000 67000 67335 67584 68608 70400 70752 71824 73700 76800 80400 84480 85760 88000 88440 89780 90112 92125 94336 96000 98758 100500 102400 102912 105600 107200 107736 110550 112225 112640 117920 122880 128000 128640 132000 134000 134670 135168 137216 140800 141504 143648 147400 148137 153600 160800 168960 171520 176000 176880 179560 184250 188672 192000 197516 201000 204800 205824 211200 214400 215472 221100 224450 225280 235840 246895 256000 257280 264000 268000 269340 270336 274432 276375 281600 283008 287296 294800 296274 300763 307200 321600 336675 337920 343040 352000 353760 359120 368500 377344 384000 395032 402000 411648 422400 428800 430944 442200 448900 450560 471680 493790 512000 514560 528000 536000 538680 548864 552750 561125 563200 566016 574592 589600 592548 601526 614400 643200 673350 675840 686080 704000 707520 718240 737000 740685 754688 768000 790064 804000 823296 844800 857600 861888 884400 897800 902289 943360 987580 1024000 1029120 1056000 1072000 1077360 1105500 1122250 1126400 1132032 1149184 1179200 1185096 1203052 1234475 1286400 1346700 1351680 1372160 1408000 1415040 1436480 1474000 1481370 1503815 1509376 1536000 1580128 1608000 1646592 1683375 1689600 1715200 1723776 1768800 1795600 1804578 1886720 1975160 2058240 2112000 2144000 2154720 2211000 2244500 2252800 2264064 2298368 2358400 2370192 2406104 2468950 2572800 2693400 2744320 2816000 2830080 2872960 2948000 2962740 3007630 3018752 3072000 3160256 3216000 3308393 3366750 3379200 3430400 3447552 3537600 3591200 3609156 3703425 3773440 3950320 4116480 4224000 4288000 4309440 4422000 4489000 4511445 4528128 4596736 4716800 4740384 4812208 4937900 5145600 5386800 5632000 5660160 5745920 5896000 5925480 6015260 6037504 6172375 6320512 6432000 6616786 6733500 6758400 6860800 6895104 7075200 7182400 7218312 7406850 7519075 7546880 7900640 8232960 8448000 8576000 8618880 8844000 8978000 9022890 9056256 9193472 9433600 9480768 9624416 9875800 9925179 10291200 10773600 11264000 11320320 11491840 11792000 11850960 12030520 12344750 12641024 12864000 13233572 13467000 13721600 13790208 14150400 14364800 14436624 14813700 15038150 15093760 15801280 16541965 16896000 17152000 17237760 17688000 17956000 18045780 18112512 18386944 18517125 18867200 18961536 19248832 19751600 19850358 20151121 20582400 21547200 22557225 22640640 22983680 23584000 23701920 24061040 24689500 25282048 25728000 26467144 26934000 27580416 28300800 28729600 28873248 29627400 30076300 30187520 31602560 33083930 33792000 34304000 34475520 35376000 35912000 36091560 36773888 37034250 37595375 37734400 37923072 38497664 39503200 39700716 40302242 41164800 43094400 45114450 45281280 45967360 47168000 47403840 48122080 49379000 49625895 50564096 51456000 52934288 53868000 55160832 56601600 57459200 57746496 59254800 60152600 60453363 63205120 66167860 68608000 68951040 70752000 71824000 72183120 74068500 75190750 75468800 75846144 76995328 79006400 79401432 80604484 82709825 86188800 90228900 90562560 91934720 94336000 94807680 96244160 98758000 99251790 100755605 101128192 102912000 105868576 107736000 110321664 112786125 113203200 114918400 115492992 118509600 120305200 120906726 126410240 132335720 137902080 141504000 143648000 144366240 148137000 150381500 150937600 151692288 153990656 158012800 158802864 161208968 165419650 172377600 180457800 183869440 188672000 189615360 192488320 197516000 198503580 201511210 202256384 205824000 211737152 215472000 221662331 225572250 226406400 229836800 230985984 237019200 240610400 241813452 248129475 252820480 264671440 275804160 283008000 287296000 288732480 296274000 300763000 302266815 303384576 307981312 316025600 317605728 322417936 330839300 344755200 360915600 377344000 379230720 384976640 395032000 397007160 403022420 404512768 413549125 423474304 430944000 443324662 451144500 452812800 459673600 461971968 474038400 481220800 483626904 496258950 503778025 505640960 529342880 551608320 566016000 574592000 577464960 592548000 601526000 604533630 606769152 615962624 632051200 635211456 644835872 661678600 664986993 689510400 721831200 754688000 758461440 769953280 790064000 794014320 806044840 827098250 846948608 861888000 886649324 902289000 919347200 923943936 948076800 962441600 967253808 992517900 1007556050 1011281920 1058685760 1108311655 1132032000 1149184000 1154929920 1185096000 1203052000 1209067260 1213538304 1231925248 1240647375 1264102400 1270422912 1289671744 1323357200 1329973986 1379020800 1443662400 1511334075 1516922880 1539906560 1580128000 1588028640 1612089680 1654196500 1693897216 1723776000 1773298648 1804578000 1847887872 1896153600 1924883200 1934507616 1985035800 2015112100 2022563840 2117371520 2216623310 2264064000 2298368000 2309859840 2370192000 2406104000 2418134520 2463850496 2481294750 2518890125 2528204800 2540845824 2579343488 2646714400 2659947972 2758041600 2887324800 3022668150 3033845760 3079813120 3160256000 3176057280 3224179360 3308393000 3324934965 3387794432 3447552000 3546597296 3609156000 3695775744 3792307200 3849766400 3869015232 3970071600 4030224200 4234743040 4433246620 4596736000 4619719680 4740384000 4812208000 4836269040 4962589500 5037780250 5056409600 5081691648 5158686976 5293428800 5319895944 5541558275 5774649600 6045336300 6067691520 6159626240 6320512000 6352114560 6448358720 6616786000 6649869930 6775588864 6895104000 7093194592 7218312000 7391551488 7556670375 7584614400 7699532800 7738030464 7940143200 8060448400 8469486080 8866493240 9239439360 9480768000 9624416000 9672538080 9925179000 10075560500 10112819200 10163383296 10317373952 10586857600 10639791888 11083116550 11549299200 12090672600 12319252480 12641024000 12704229120 12896717440 13233572000 13299739860 13551177728 13790208000 14186389184 14436624000 15113340750 15169228800 15399065600 15476060928 15880286400 16120896800 16624674825 16938972160 17732986480 18478878720 18961536000 19248832000 19345076160 19850358000 20151121000 20326766592 20634747904 21173715200 21279583776 22166233100 23098598400 24181345200 25282048000 25408458240 25793434880 26467144000 26599479720 27102355456 27707791375 28372778368 28873248000 30226681500 30338457600 30798131200 30952121856 31760572800 32241793600 33249349650 33877944320 35465972960 36957757440 37923072000 38497664000 38690152320 39700716000 40302242000 40653533184 41269495808 42347430400 42559167552 44332466200 46197196800 48362690400 50564096000 50816916480 51586869760 52934288000 53198959440 55415582750 56745556736 57746496000 60453363000 61596262400 61904243712 63521145600 64483587200 66498699300 67755888640 70931945920 75846144000 76995328000 77380304640 79401432000 80604484000 81307066368 82538991616 83123374125 84694860800 85118335104 88664932400 92394393600 96725380800 101633832960 103173739520 105868576000 106397918880 110831165500 113491113472 115492992000 120906726000 123808487424 127042291200 128967174400 132997398600 135511777280 141863891840 151692288000 153990656000 154760609280 158802864000 161208968000 165077983232 166246748250 169389721600 170236670208 177329864800 184788787200 193450761600 203267665920 206347479040 211737152000 212795837760 221662331000 226982226944 230985984000 241813452000 247616974848 254084582400 257934348800 265994797200 283727783680 307981312000 309521218560 317605728000 322417936000 332493496500 338779443200 340473340416 354659729600 386901523200 406535331840 412694958080 423474304000 425591675520 443324662000 453964453888 461971968000 483626904000 495233949696 508169164800 515868697600 531989594400 567455567360 619042437120 635211456000 644835872000 664986993000 677558886400 680946680832 709319459200 773803046400 825389916160 846948608000 851183351040 886649324000 907928907776 923943936000 967253808000 1016338329600 1031737395200 1063979188800 1134911134720 1238084874240 1270422912000 1289671744000 1329973986000 1361893361664 1418638918400 1547606092800 1693897216000 1702366702080 1773298648000 1815857815552 1934507616000 2032676659200 2063474790400 2127958377600 2269822269440 2476169748480 2540845824000 2579343488000 2659947972000 2723786723328 2837277836800 3095212185600 3387794432000 3404733404160 3546597296000 3869015232000 4126949580800 4255916755200 4539644538880 5081691648000 5158686976000 5319895944000 5447573446656 5674555673600 6190424371200 6809466808320 7093194592000 7738030464000 8511833510400 9079289077760 10163383296000 10317373952000 10639791888000 11349111347200 12380848742400 13618933616640 14186389184000 15476060928000 17023667020800 20634747904000 21279583776000 22698222694400 27237867233280 28372778368000 30952121856000 34047334041600 42559167552000 45396445388800 56745556736000 61904243712000 68094668083200 85118335104000 113491113472000 136189336166400 170236670208000 226982226944000 340473340416000 680946680832000
- Sum of all divisors σ(n): 2509512392297664
- Sum of proper divisors (its aliquot sum) s(n): 1828565711465664
- 680946680832000 is an abundant number, because the sum of its proper divisors (1828565711465664) is greater than itself. Its abundance is 1147619030633664
Bases of 680946680832000
- Binary: 100110101101010001010000010000010110100000000000002
- Hexadecimal: 0x26B514105A000
- Base-36: 6PDIL48TMO
Squares and roots of 680946680832000
- 680946680832000 squared (6809466808320002) is 463688382136117676212224000000
- 680946680832000 cubed (6809466808320003) is 315747064755949373643278814824890368000000000
-
The
square root of 680946680832000 is 26094955.0839237889 -
The
cube root of 680946680832000 is 87977.3823085287
Scales and comparisons
How big is 680946680832000?- 680,946,680,832,000 seconds is equal to 21,651,998 years, 7 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 680,946,680,832,000 would take you about fifty-four million, one hundred twenty-nine thousand, nine hundred ninety-five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 680946680832000 cubic inches would be around 7331.4 feet tall.
Recreational maths with 680946680832000
- 680946680832000 backwards is 000238086649086
- 680946680832000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 680946680832000's digits is 60
- More coming soon!
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The information we have on file for 680946680832000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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